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Finding the Fourth Proportional to 297,785.08, 410,943.07 and 161,818.71

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Solution

The fourth proportional to 297,785.08, 410,943.07 and 161,818.71 is: 223,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,785.08 : 410,943.07 = 161,818.71 : x
  2. Step 2: Convert to fraction form
    297,785.08/410,943.07 = 161,818.71/x
  3. Step 3: Cross multiply
    297,785.08x = 410,943.07 × 161,818.71
  4. Step 4: Simplify right side
    297,785.08x = 66,498,277,470.84
  5. Step 5: Solve for x
    x = 66,498,277,470.84/297,785.08
  6. Step 6: Final answer
    x = 223,309.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.